Water flows at a depth of 40 cm in a100-cm-diameter storm sewer. Calculate the flow rate and the mass flux if the average velocity is 3m/s.
Given:
d= 100 cm = 1m
v=1m/s
solution:
A=π/4(d)2A= \pi/4 (d)^2A=π/4(d)2
A=3.14/4(1)2=0.7854m2A= 3.14/4(1)^2 = 0.7854m^2A=3.14/4(1)2=0.7854m2
flow rate
Q=AV=0.7854×3=2.356m3/sQ=AV= 0.7854\times 3= 2.356 m^3/sQ=AV=0.7854×3=2.356m3/s
mass flux
Mf=Qρ=2.356×1000kg/m3M_f= Q\rho= 2.356\times1000kg/m^3Mf=Qρ=2.356×1000kg/m3
Mf=2356kg/sM_f= 2356 kg/sMf=2356kg/s
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